Editing anchor points
The anchor point mode of a path

A leaf in point mode, with a point selected and the curve handles, and the Point panel

Entering and exiting

Double-clicking a path opens its anchor points: until you enter it, a selected path has a bounding box like any other object. Exit with Esc, by clicking an empty area, by selecting something else or by choosing another tool.

ObjectWhere its anchor points are
pathin anchor point mode, with a double-click
line, dimensionthe endpoints are the handles, as soon as you select them
arc on its ownthe arc grips (endpoints, circumference, center) are the handles, as soon as you select it
spine, brush stroke, array on a path, area type or type on a paththe anchor points of the guide show when you select the modifier, and you drag them from outside. ⌥ on an anchor point deletes it, ⌥ ⇧ makes it a curve; a new anchor point can only be added from the small cross at the middle of a straight segment

Anchor points always open, even on paths with hundreds of points (a converted brush stroke can have more than a thousand).

Selecting anchor points

GestureWhat it does
Click an anchor pointselects it
⇧ + clickadds or removes it, and nothing else: it does not arm any gesture
Click an already selected anchor pointdoes not clear the selection: it is the start of a move of all the selected ones
Marquee from an empty areaselects the anchor points inside it; with ⇧ it adds them

Moving

Drag an anchor point: all the selected ones move, with snapping. A direction handle moves along with its point. Each gesture is one undo step, and Esc during the gesture restores the previous state.

Each grip has two parts, as in the bounding box: the dot reshapes, the ring around it moves the whole object.

In anchor point mode the arrow keys do not move the anchor points, and ⌫ deletes the entire path, not the selected point. To delete an anchor point: ⌥ + click on the point.

Curve direction handles

A cubic curve has two direction handles, one at each end. When you drag one:

KeysWhat happens to the opposite handle
noneif the anchor point was smooth (the two handles in line, within just over one degree), it stays in line; if it was a corner point, it stays where it is
⌥it breaks: the opposite handle stays put, and the anchor point becomes a corner point
⇧it stays in line regardless, even if it was not before
⇧ ⌥it stays in line and takes the same length: the anchor point is symmetric

A direction handle cannot be selected: it is the how, not the where. It does not snap and is not picked by the marquee.

Quadratic curves

A quadratic curve (common in SVG files) has a single control point, shared by both ends: it shows as two short bars, one at each end. When you move an end, the control point stays put. Continuity also holds between a quadratic and a cubic curve, or between two quadratic curves.

Entering an anchor point

With a single anchor point selected, the Point panel shows its position, type and the radius of the arcs that touch it, and lets you enter them.